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Integrating factor question

  1. Mar 19, 2012 #1
    1. The problem statement, all variables and given/known data

    Hi, I attempted to solve this question, but it did not work well. I would be grateful if you could help me.

    Show that an equation of the form xrys(mydx + nxdy)= 0 has an infinite number of integrating factors of the form xayb, and find expressions for a and b.

    2. Relevant equations
    μMdx + μNdy = 0

    3. The attempt at a solution
    The equation: μ(xrys+1m)dx + μ(nxr+1ys)dy=0

    Now, should I check for μ= μ(x), μ(y), μ(xy), etc.? When I check for μ= μ(x), xrys cancels, and since μ can be anything, is it a nice way to solve this question? I can't see a direct way.
    Thanks a lot for any hint :)
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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